Results 71 to 80 of about 718,701 (250)
Multiplicity results for non-local operators of elliptic type
Results in Applied MathematicsIn this paper, we study a class of problems proposed by Servadei and Valdinoci (2013); namely, (1) −LKu(x)−λu(x)=f(x,u),forx∈Ω;u=0inRN∖Ω,where Ω⊂RN is an open bounded set with Lipschitz boundary, λ∈R, f∈C1(Ω¯×R,R), with f(x,0)=0 for x∈Ω, and LK is a non ...
Emer Lopera +2 more
doaj +1 more source
Partial Differential Equations in Applied Mathematics, 2020 This paper deals with parabolic Cauchy–Dirichlet problems with a nonlinear operator in divergence form of Leray–Lions type as a principal part, a nonlinear lower order term with natural p-growth in the gradient and irregular source/initial data.
M. Abdellaoui
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Existence of a sequence satisfying Cioranescu-Murat conditions in homogenization of Dirichlet problems in perforated domains [PDF]
, 1996 In a paper of 1982, D. Cioranescu and F. Murat considered the problem satisfied by the limit u of the sequence un solution of 0 −∆un = f in Ωn, un = 0 on ∂Ωn, where Ωn is a sequence of open sets which are contained in a fixed bounded open set Ω.
Casado Díaz, Juan
core
Near‐Field Electrospinning Micro‐Printhead Achieves Precise Control of Nanofiber Deposition
Advanced Engineering Materials, EarlyView.A micro‐printhead for near‐field electrospinning enables reproducible deposition of polymer nanofibers with diameters below 50 nm. Systematic parameter studies uncover the mechanisms linking operating conditions to fiber morphology, paving the way for precise and low‐cost nanoscale 3D manufacturing.As a high‐resolution, cost‐effective, and rapid ...
Han Xu, Dario Mager, Jan G. Korvink
wiley +1 more source
Advanced Engineering Materials, EarlyView.A combined finite element and phase‐field approach predicts the evolution of microstructure during the directional solidification of Ni‐based superalloys. The model reveals how withdrawal rate, temperature gradient, and wall thickness control the dendrite spacing, highlighting the strong effect of surface regions in thin sections where dendrite growth ...
Sean Böhm +3 more
wiley +1 more source
Maximal 2-rainbow domination number of a graph
AKCE International Journal of Graphs and Combinatorics, 2016 A 2-rainbow dominating function (2RDF) of a graph G is a function f from the vertex set V(G) to the set of all subsets of the set {1,2} such that for any vertex v∈V(G) with f(v)=0̸ the condition ⋃u∈N(v)f(u)={1,2} is fulfilled, where N(v) is the open ...
H. Abdollahzadeh Ahangar +3 more
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Global Branch of Solutions for Non-Linear Schrödinger Equations with Deepening Potential Well [PDF]
, 2017 We consider the stationary non-linear Schrödinger equation Δu+{ 1+λg(x) }u=f(u)with u∈H1RN,u ≠0 where λ > 0 and the functions f and g are such that lims→0f(s)s ...
Stuart, C. A., Zhou, Huan-Song
core
Forcing properties of ideals of closed sets
, 2010 With every $\sigma$-ideal $I$ on a Polish space we associate the $\sigma$-ideal $I^*$ generated by the closed sets in $I$. We study the forcing notions of Borel sets modulo the respective $\sigma$-ideals $I$ and $I^*$ and find connections between their ...
Sabok, Marcin, Zapletal, Jindrich
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Advanced Engineering Materials, EarlyView.Through direct application of porous transport layer (PTL) on the bipolar plate (BPP) with thermal spraying, the interfacial contact resistance is improved. With the cold gas sprayed BPP–PTL coating system, a proton exchange membrane water electrolysis cell with a cell voltage of Ucell = 1.9 V can be operated up to i = 2.5 A/cm2 in a dynamic mode ...
Kirsten Bobzin +5 more
wiley +1 more source
A Fredholm alternative for quasilinear elliptic equations with right hand side measure
, 2015 We consider a quasilinear elliptic equation, with right hand side measure, which does not satisfy the usual coercivity assumption. We prove an existence result in the line of the Fredholm alternative.
Colturato, Michele, Degiovanni, Marco
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